I'd like to have the phone number have the same style as <h3> and be lined up just to the left of the social icons with logo, the phone number and the social icons all aligned at the bottom just above the menu bar.

Here was what worked in the end. The suggestion on absolute position didn't really work on mobile devices. This worked to put a text phone number (and presumably other text as well) the left of the social sharing icons in the header.